(5c+-4)(6c+-6)=

Solution for (5c+-4)(6c+-6)= equation:

Simplifying
(5c + -4)(6c + -6) = 0

Reorder the terms:
(-4 + 5c)(6c + -6) = 0

Reorder the terms:
(-4 + 5c)(-6 + 6c) = 0

Multiply (-4 + 5c) * (-6 + 6c)
(-4(-6 + 6c) + 5c * (-6 + 6c)) = 0
((-6 * -4 + 6c * -4) + 5c * (-6 + 6c)) = 0
((24 + -24c) + 5c * (-6 + 6c)) = 0
(24 + -24c + (-6 * 5c + 6c * 5c)) = 0
(24 + -24c + (-30c + 30c2)) = 0

Combine like terms: -24c + -30c = -54c
(24 + -54c + 30c2) = 0

Solving
24 + -54c + 30c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -9c + 5c2) = 0

Factor a trinomial.
6((4 + -5c)(1 + -1c)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + -5c)' equal to zero and attempt to solve:

Simplifying
4 + -5c = 0

Solving
4 + -5c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -5c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5c = 0 + -4
-5c = 0 + -4

Combine like terms: 0 + -4 = -4
-5c = -4

Divide each side by '-5'.
c = 0.8

Simplifying
c = 0.8
Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1c = 0 + -1
-1c = 0 + -1

Combine like terms: 0 + -1 = -1
-1c = -1

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {0.8, 1}